Plasticity Conditions and Failure Criteria for Quasi-brittle Materials
[ 1 ] Instytut Konstrukcji Budowlanych, Wydział Budownictwa i Inżynierii Środowiska, Politechnika Poznańska | [ P ] employee
2014
chapter in monograph
english
EN In this chapter, selected problems connected with failure of quasi-brittle materials in static and dynamic conditions are presented. The starting points of the discussion are quasi-static and dynamic mechanical properties of concrete-like strength in uniaxial compression, tension, plane stress conditions, and meridian plane, which are confronted with dynamic strength in tension and in compression. There are at least few constitutive relations known from literature which reflect the slightly different ideas of authors. The important part of this chapter is the presentation of the selected plasticity conditions and failure criteria due to von Mises, Drucker-Prager, Bresler-Pister, Mróz, Willam-Warnke, Podgórski, and Burzyński. The interpretation of the specified criteria that are based on energy description is introduced to perform easily comparisons between them. The second important set of problems considers dynamic failure of concrete. The ideas of multiplicative failure criterion (MFC) and cumulative failure criterion (CFD) are shown. The CFD describes influence of constitutive parameters on the definition of time to failure. The method of generalization of this criterion to three-dimensional cases is proposed. The verification of the elastic material model with the strain rate-dependent failure criterion that is based on spalling test of concrete in the Hopkinson pressure bar is discussed. The last application describes numerically the dynamic behavior of concrete and reinforced concrete slab perforated by projectile which hits the obstacle (plate) with different incidence angles.
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